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We propose a generic multistage stochastic model for the Alternating Current Optimal Power Flow (AC OPF) problem for radial distribution networks, to account for the random electricity production of renewable energy sources and dynamic…

Optimization and Control · Mathematics 2021-11-19 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert

The rise in residential photovoltaics and other distributed energy sources poses unprecedented challenges for the operation of power distribution grids. When high amounts of active power are injected into the grid by such power sources, the…

Systems and Control · Electrical Eng. & Systems 2024-03-01 Jonas G. Matt , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

In order to protect the environment and address fossil fuel scarcity, renewable energy is increasingly used for power generation. However, due to the uncertainties it brings to electricity production, deterministic optimization is no longer…

Optimization and Control · Mathematics 2022-12-13 Shuhan Lyu

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

Optimization is an essential part of power grid operation and lately, Online Optimization methods have gained traction. One such method is Online Feedback Optimization (OFO) which uses measurements from the grid as feedback to iteratively…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Lukas Ortmann , Christian Rubin , Alessandro Scozzafava , Janick Lehmann , Saverio Bolognani , Florian Dörfler

The limitations of centralized optimization methods in managing power distribution systems operations motivate distributed control and optimization algorithms. However, the existing distributed optimization algorithms are inefficient in…

Optimization and Control · Mathematics 2021-09-06 Rabayet Sadnan , Tom Asaki , Anamika Dubey

In this paper, we investigate the empirical counterpart of Group Distributionally Robust Optimization (GDRO), which aims to minimize the maximal empirical risk across $m$ distinct groups. We formulate empirical GDRO as a…

Machine Learning · Computer Science 2024-09-23 Dingzhi Yu , Yunuo Cai , Wei Jiang , Lijun Zhang

The large-scale integration of renewable generation directly affects the reliability of power grids. We investigate the problem of power balancing in a general renewable-integrated power grid with storage and flexible loads. We consider a…

Systems and Control · Computer Science 2016-06-06 Sun Sun , Min Dong , Ben Liang

We propose stochastic optimization methodologies for a staffing and capacity planning problem arising from home care practice. Specifically, we consider the perspective of a home care agency that must decide the number of caregivers to hire…

Optimization and Control · Mathematics 2022-03-29 Ridong Wang , Karmel S. Shehadeh , Xiaolei Xie , Lefei Li

In the present article we propose a mixed-integer approximation of adjustable-robust optimization (ARO) problems, that have both, continuous and discrete variables on the lowest level. As these trilevel problems are notoriously hard to…

Optimization and Control · Mathematics 2023-10-11 Jan Kronqvist , Boda Li , Jan Rolfes

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

With the commitment to climate, globally many countries started reducing brownfield energy production and strongly opting towards green energy resources. However, the optimal allocation of distributed energy resources (DERs) in electrical…

Systems and Control · Electrical Eng. & Systems 2023-03-28 D Maneesh Reddy , Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

Utilizing distribution grid flexibility for ancillary services requires the coordination and dispatch of requested active and reactive power to a large number of distributed energy resources in underlying grid layers. This paper presents an…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Florian Klein-Helmkamp , Irina Zettl , Florian Schmidtke , Lukas Ortmann , Andreas Ulbig

The traditional heat-load generation pattern of combined heat and power generators has become a problem leading to renewable energy source (RES) power curtailment in cold regions, motivating the proposal of a planning model for alternative…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Ruizhe Yang , Zhongkai Yi , Ying Xu , Guiyu Chen , Haojie Yang , Rong Yi , Tongqing Li , Miaozhe ShenJin Li , Haoxiang Gao , Hongyu Duan

The growing share of intermittent renewable energy sources, storage technologies, and the increasing degree of so-called sector coupling necessitates optimization-based energy system models with high temporal and spatial resolutions, which…

Optimization and Control · Mathematics 2021-11-24 Maximilian Hoffmann , Leander Kotzur , Detlef Stolten

Due to increased penetration of renewable resources in the distribution grid, the distribution system operator (DSO) faces increased challenges to maintain security and quality of supply. Since, a large proportion of renewables are…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Ankur Majumdar , Omid Alizadeh-Mousavi

We consider a two-stage distributionally robust optimization (DRO) model with multimodal uncertainty, where both the mode probabilities and uncertainty distributions could be affected by the first-stage decisions. To address this setting,…

Optimization and Control · Mathematics 2026-02-03 Xian Yu , Beste Basciftci

The applicability of fractional order (FO) automatic generation control (AGC) for power system frequency oscillation damping is investigated in this paper, employing distributed energy generation. The hybrid power system employs various…

Systems and Control · Computer Science 2016-11-30 Indranil Pan , Saptarshi Das

Scheduling the power exchange between a population of heterogeneous distributed energy resources and the corresponding upper-level system is an important control problem in power systems. A key challenge is the large number of (partially…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Riccardo Remo Appino , Veit Hagenmeyer , Timm Faulwasser
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